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Fuzzy clustering with entropy regularization for interval-valued data with an application to scientific journal citations

Pierpaolo D’Urso (), Livia Giovanni (), Leonardo Salvatore Alaimo (), Raffaele Mattera () and Vincenzina Vitale ()
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Pierpaolo D’Urso: Sapienza - University of Rome
Livia Giovanni: Luiss University
Leonardo Salvatore Alaimo: Sapienza - University of Rome
Raffaele Mattera: Sapienza - University of Rome
Vincenzina Vitale: Sapienza - University of Rome

Annals of Operations Research, 2024, vol. 342, issue 3, No 12, 1605-1628

Abstract: Abstract In recent years, the research of statistical methods to analyze complex structures of data has increased. In particular, a lot of attention has been focused on the interval-valued data. In a classical cluster analysis framework, an interesting line of research has focused on the clustering of interval-valued data based on fuzzy approaches. Following the partitioning around medoids fuzzy approach research line, a new fuzzy clustering model for interval-valued data is suggested. In particular, we propose a new model based on the use of the entropy as a regularization function in the fuzzy clustering criterion. The model uses a robust weighted dissimilarity measure to smooth noisy data and weigh the center and radius components of the interval-valued data, respectively. To show the good performances of the proposed clustering model, we provide a simulation study and an application to the clustering of scientific journals in research evaluation.

Keywords: Fuzzy clustering; Robust clustering; Weighting system; Interval-valued data; Entropy; Journal citation indices; Evaluation (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-023-05180-1

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